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103002900507 = 3513593111777
BaseRepresentation
bin101111111101101110…
…0111000100000011011
3100211212110010111100000
41133323130320200123
53141422220304012
6115152513344043
710304336131323
oct1377334704033
9324773114300
10103002900507
113a7574a7761
1217b67568023
13993699b250
144db1bc0283
152a2cba2ddc
hex17fb73881b

103002900507 has 96 divisors (see below), whose sum is σ = 169616079360. Its totient is φ = 62076741120.

The previous prime is 103002900463. The next prime is 103002900521. The reversal of 103002900507 is 705009200301.

It is not a de Polignac number, because 103002900507 - 214 = 103002884123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103002900527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57963603 + ... + 57965379.

It is an arithmetic number, because the mean of its divisors is an integer number (1766834160).

Almost surely, 2103002900507 is an apocalyptic number.

103002900507 is a deficient number, since it is larger than the sum of its proper divisors (66613178853).

103002900507 is a wasteful number, since it uses less digits than its factorization.

103002900507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 103002900507 in words is "one hundred three billion, two million, nine hundred thousand, five hundred seven".

Divisors: 1 3 9 13 27 39 59 81 117 177 243 311 351 531 767 933 1053 1593 1777 2301 2799 3159 4043 4779 5331 6903 8397 12129 14337 15993 18349 20709 23101 25191 36387 47979 55047 62127 69303 75573 104843 109161 143937 165141 186381 207909 238537 314529 327483 431811 495423 552647 623727 715611 943587 982449 1362959 1486269 1657941 1871181 2146833 2830761 4088877 4458807 4973823 5613543 6440499 7184411 8492283 12266631 14921469 19321497 21553233 25476849 32606173 36799893 44764407 57964491 64659699 97818519 110399679 134293221 193979097 293455557 331199037 423880249 581937291 880366671 1271640747 1745811873 2641100013 3814922241 7923300039 11444766723 34334300169 103002900507